Detail publikace

Induced and higher-dimensional stable independence

LIEBERMAN, M. ROSICKÝ, J. VASEY, S.

Anglický název

Induced and higher-dimensional stable independence

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

Originální abstrakt

We provide several crucial technical extensions of the theory of stable independence notions in accessible categories. In particular, we describe circumstances under which a stable independence notion can be transferred from a subcategory to a category as a whole, and examine a number of applications to categories of groups and modules, extending results of [16]. We prove, too, that under the hypotheses of [11], a stable independence notion immediately yields higherdimensional independence as in [26].

Anglický abstrakt

We provide several crucial technical extensions of the theory of stable independence notions in accessible categories. In particular, we describe circumstances under which a stable independence notion can be transferred from a subcategory to a category as a whole, and examine a number of applications to categories of groups and modules, extending results of [16]. We prove, too, that under the hypotheses of [11], a stable independence notion immediately yields higherdimensional independence as in [26].

Klíčová slova anglicky

Stable independence; Accessible categories; Classification theory; Categories of modules

Vydáno

01.07.2022

Nakladatel

ELSEVIER

Místo

AMSTERDAM

ISSN

0168-0072

Ročník

173

Číslo

7

Strany od–do

1–15

Počet stran

15

BIBTEX


@article{BUT178183,
  author="Michael Joseph {Lieberman} and Jiří {Rosický} and Sebastien {Vasey},
  title="Induced and higher-dimensional stable independence",
  year="2022",
  volume="173",
  number="7",
  month="July",
  pages="1--15",
  publisher="ELSEVIER",
  address="AMSTERDAM",
  issn="0168-0072"
}